DERIVATION OF THE CPT THEOREM AND THE CONNECTION BETWEEN SPIN AND STATISTICS FROM POSTULATES OF THE S-MATRIX THEORY

Journal Article · Thu Mar 15 04:00:00 EST 1962 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.125.2139· OSTI ID:4792550

Stapp, H P

The CPT theorem (G. Luders, Kgl. Danske Videnskab. Selskab Mat.-fys. Medd., 28: No. 5(1954)) and the normal connection between spin and statistics are consequences of postulates of the S-matrix approach to elementary particle physics. These are weaker than those of field theory. Neither local fields nor any reference to space-time points are used. Quantum commutation relations and properties of the vacuum play no role. Completeness of the asymptotic states and positive definiteness or the metric are not required, though certain weaker asymptotic conditions prevail. The proofs depend on unitarity, macroscopic relativistic invariance, and a very weak analyticity requirement on the mass- shell scattering functions. The proofs are in the framework of the new S-matrix approach to elementary particle physics, which is established on a formal basis. (auth)

• Research Organization: Univ. of California, Berkeley
• NSA Number: NSA-16-015577
• OSTI ID: 4792550
• Report Number(s): UCRL-9804; 0031-899X
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 125; ISSN PHRVA
• Country of Publication: United States
• Language: English

Related Subjects

ANALYTIC FUNCTIONS
COMMUTATION RELATIONS
CPT INVARIANCE
ELEMENTARY PARTICLES
FIELD THEORY
MATRICES
PHYSICS
RELATIVITY THEORY
S-MATRIX
SCATTERING
SPIN
STATISTICS
UNITARITY